Having prominent eyes; with the eyes widely opened or protruding, either naturally or from astonishment or curiosity.
1974, Esther Pasztory, The Iconography of the Teotihuacan Tlaloc, Studies in Pre-Columbian Art and Archaeology No. 15, Dumbarton Oaks, Trustees for Harvard University, Washington, D.C., p. https://books.google.ca/books?id=L0QClI2QOwQC&printsec=frontcover#v=onepage&q&f=false
The frequency of goggle-eyed figures and water symbolism in Teotihuacan art has misled investigators into assuming that ll figures with these associations represent Tlaloc.
1993, Bob Cryer, Hansard, Mines health and safety, 26 October, 1993, https://web.archive.org/web/20190212095659/https://www.hansard-corpus.org/
The Minister knew that it was controversial, but as he is an arrogant, right-wing, goggle-eyed extremist, he does not care.